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Citation: Xiangming Feng, Jinyun Zheng, Ruoyu Cao, Dan Li, Xinxin Guan, Zhaohui Li, Weihua Chen, Jianmin Zhang. Visualization of throttling expansion and thermodynamic functions for Van der Waals gases[J]. University Chemistry, ;2026, 41(7): 401-405. doi: 10.12461/PKU.DXHX202506002 shu

Visualization of throttling expansion and thermodynamic functions for Van der Waals gases

College of Chemistry, Zhengzhou University, Zhengzhou 450001, Henan Province, China

Corresponding author: Xiangming Feng, fengxm@zzu.edu.cn
Received Date: 3 June 2025
Revised Date: 31 July 2025

The visualization of physical chemistry formulas significantly enhances students’ comprehension and mastery of relevant concepts, while the application of appropriate data processing software simplifies the visualization process. This study employs nitrogen gas as an example, utilizing the Van der Waals equation and Joule-Thomson coefficient formula to construct three-dimensional representations of pV-(p,T), T-(p,T₀), and μ_J-T-(p,T) relationships. These visualizations facilitate more intuitive instruction regarding the throttling expansion effects in real gases. Furthermore, through the μ_J-T-(p,T) and V-(p,T) plots, we demonstrate both the gas liquefaction process and engineering methods for calculating ΔH, ΔS, and ΔG of Van der Waals gases under isothermal conditions.
- Throttling expansion,
- Van der Waals equation of state,
- Joule-Thomson coefficient,
- Enthalpy,
- Entropy,
- Gibbs free energy
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